Trigonometry Examples

$2 x i (i - 4 i^{2})$

Step 1

Simplify each term.

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Step 1.1

Rewrite $i^{2}$ as $- 1$ .

$2 x i (i - 4 \cdot - 1)$

Step 1.2

Multiply $- 4$ by $- 1$ .

$2 x i (i + 4)$

Step 2

Apply the distributive property.

$2 x i i + 2 x i \cdot 4$

Step 3

Multiply $2 x i i$ .

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Step 3.1

Raise $i$ to the power of $1$ .

$2 x (i^{1} i) + 2 x i \cdot 4$

Step 3.2

Raise $i$ to the power of $1$ .

$2 x (i^{1} i^{1}) + 2 x i \cdot 4$

Step 3.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 x i^{1 + 1} + 2 x i \cdot 4$

Step 3.4

Add $1$ and $1$ .

$2 x i^{2} + 2 x i \cdot 4$

Step 4

Multiply $4$ by $2$ .

$2 x i^{2} + 8 x i$

Step 5

Simplify each term.

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Step 5.1

Rewrite $i^{2}$ as $- 1$ .

$2 x \cdot - 1 + 8 x i$

Step 5.2

Multiply $- 1$ by $2$ .

$- 2 x + 8 x i$